A203378 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements.

12, 36, 36, 108, 164, 108, 324, 748, 748, 324, 972, 3412, 5208, 3412, 972, 2916, 15564, 36300, 36300, 15564, 2916, 8748, 70996, 253068, 387324, 253068, 70996, 8748, 26244, 323852, 1764360, 4136292, 4136292, 1764360, 323852, 26244, 78732, 1477268

Offset: 1

Author

R. H. Hardin Dec 31 2011

Keywords

• nonn
• tabl

Comments

Table starts

....12......36......108........324..........972...........2916.............8748

....36.....164......748.......3412........15564..........70996...........323852

...108.....748.....5208......36300.......253068........1764360.........12301020

...324....3412....36300.....387324......4136292.......44183028........471988172

...972...15564...253068....4136292.....67731264.....1109832180......18189909480

..2916...70996..1764360...44183028...1109832180....27913330472.....702420750924

..8748..323852.12301020..471988172..18189909480...702420750924...27149753088792

.26244.1477268.85762188.5042151644.298154846436.17679917387404.1049837466171436

Examples

			Some solutions for n=4 k=3
..0..0..1..0....1..0..1..1....1..1..0..0....1..1..1..1....1..0..0..0
..0..1..1..1....0..1..1..0....1..1..1..0....1..1..0..1....0..1..0..0
..1..0..1..1....0..0..1..1....1..0..1..1....0..1..1..1....1..0..1..0
..1..1..0..1....1..0..0..1....0..1..1..1....1..1..0..1....1..1..1..1
..1..1..1..1....0..1..0..0....0..0..1..1....1..0..0..0....1..1..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..420

Crossrefs

Column 1 is A003946(n+1)

Column 2 is A147722(n+2)